From the N-Body Schrödinger Equation to the Vlasov Equation

Abstract : This paper describes a method for obtaining an estimate of the convergence rate for the joint mean-field and semiclassical limit of the N-particle Schrödinger equation leading to the Vlasov equation. The interaction force is assumed to be Lipschitz continuous. This is an account of a recent work in collaboration with T. Paul [Arch. Ration. Mech. Anal. 223 (2017), 57-94].
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https://hal-polytechnique.archives-ouvertes.fr/hal-01721122
Contributor : François Golse <>
Submitted on : Thursday, March 1, 2018 - 5:21:33 PM
Last modification on : Wednesday, March 27, 2019 - 4:10:22 PM

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François Golse. From the N-Body Schrödinger Equation to the Vlasov Equation. From Particle Systems to Partial Differential Equations, Dec 2015, Braga, Portugal. pp.199-219, ⟨10.1007/978-3-319-66839-0_10⟩. ⟨hal-01721122⟩

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